The mass and the average density of the planet mars are to be found.
Answer to Problem 6Q
The mass of the planet mars is
Explanation of Solution
Given:
The orbital period of the satellite Phobosis
The average altitude of Phobosis
The diameter of the mars is
Concept used:
Mass is defined as the measure of sum total of all content present in the bulk and at the surface of the body.
The
Write the expression for the equality of the gravitational force on Phobos exerted by mars and the centripetal force to be in the circular motion.
Write the expression for the gravitational force.
Write the expression for the centripetal force.
Substitute
Here,
Write the expression for the orbital period of Phobos.
Rearrange the above expression for
Here,
Substitute
Simplify the above expression for
Write the expression for the density of the mars.
Here,
Write the expression for the volume of mars.
Substitute
Here,
Calculation:
Substitute
Substitute
Conclusion:
Thus,The mass of the planet mars is
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